Mathematische Zeitschrift, ISSN 0025-5874, 8/2019, Volume 292, Issue 3, pp. 1291 - 1314

... of spherical 3-orbifolds Mattia Mecchia 1 · Andrea Seppi 2 Received: 31 January 2017 / Accepted: 9 August 2018 / Published online: 16 November 2018 © Springer-Verlag GmbH...

Mathematics, general | Mathematics | MATHEMATICS

Mathematics, general | Mathematics | MATHEMATICS

Journal Article

Journal of topology, ISSN 1753-8424, 06/2015, Volume 11, Issue 283-308

We show that a hyperbolic $3$-manifold can be the cyclic branched cover of at most fifteen knots in $\mathbf{S}^3$. This is a consequence of a general result...

Group Theory | Geometric Topology | Mathematics

Group Theory | Geometric Topology | Mathematics

Journal Article

Revista Matematica Iberoamericana, ISSN 0213-2230, 2015, Volume 31, Issue 3, pp. 811 - 840

In the early 1930s, Seifert and Threlfall classified up to conjugacy the finite subgroups of SO(4), which gives an algebraic classification of orientable...

Seifert fibrations | Spherical 3-orbifolds | Finite subgroups of SO | finite subgroups of SO | MATHEMATICS

Seifert fibrations | Spherical 3-orbifolds | Finite subgroups of SO | finite subgroups of SO | MATHEMATICS

Journal Article

Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, ISSN 0049-4704, 2014, Volume 46, Issue 1, pp. 271 - 299

Journal Article

Journal of Knot Theory and Its Ramifications, ISSN 0218-2165, 04/2020, Volume 29, Issue 4, p. 2050021

We consider 3-manifolds admitting the action of an involution such that its space of orbits is homeomorphic to S 3 . Such involutions are called hyperelliptic...

MATHEMATICS | 3-Manifolds | LINKS | 2-SUBGROUPS | finite groups of diffeomorphisms | 2-fold branched coverings of links | hyperelliptic involutions | HOMOLOGY

MATHEMATICS | 3-Manifolds | LINKS | 2-SUBGROUPS | finite groups of diffeomorphisms | 2-fold branched coverings of links | hyperelliptic involutions | HOMOLOGY

Journal Article

Mathematische Zeitschrift, ISSN 0025-5874, 2019

We study the isometry group of compact spherical orientable 3-orbifolds S^3/G, where G is a finite subgroup of SO(4), by determining its isomorphism type and,...

Mathematics

Mathematics

Journal Article

Journal of Topology, ISSN 1753-8416, 06/2018, Volume 11, Issue 2, pp. 283 - 308

As a consequence of a general result about finite group actions on 3‐manifolds, we show that a hyperbolic 3‐manifold can be the cyclic branched cover of at...

57M60 | 57M12 | 57M40 | 57S17 (primary) | 57M25 | 57M50 (secondary) | MATHEMATICS | LINKS | 3-SPHERES | HYPERBOLIC KNOTS | SPACES

57M60 | 57M12 | 57M40 | 57S17 (primary) | 57M25 | 57M50 (secondary) | MATHEMATICS | LINKS | 3-SPHERES | HYPERBOLIC KNOTS | SPACES

Journal Article

05/2018

We consider 3-manifolds admitting the action of an involution such that its space of orbits is homeomorphic to $S^3.$ Such involutions are called hyperelliptic...

Mathematics - Geometric Topology

Mathematics - Geometric Topology

Journal Article

Topology and its Applications, ISSN 0166-8641, 2011, Volume 158, Issue 6, pp. 741 - 747

We show that a finite group which admits a faithful, smooth, orientation-preserving action on a homology 4-sphere, and in particular on the 4-sphere, is...

Finite group action | Finite simple group | Homology 4-sphere | MATHEMATICS | MATHEMATICS, APPLIED

Finite group action | Finite simple group | Homology 4-sphere | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

05/2020

It is well known that, among closed spherical Seifert three-manifolds, only lens spaces and prism manifolds admit several Seifert fibrations which are not...

Mathematics - Geometric Topology

Mathematics - Geometric Topology

Journal Article

Fundamenta Mathematicae, ISSN 0016-2736, 2015, Volume 230, Issue 3, pp. 237 - 249

It is known that the order of a finite group of diffeomorphisms of a 3-dimensional handlebody of genus g > 1 is bounded by. the linear polynomial 12(g - 1),...

MATHEMATICS | 3-MANIFOLDS | Schottky group | finite group action | Jordan-type bound | handlebody

MATHEMATICS | 3-MANIFOLDS | Schottky group | finite group action | Jordan-type bound | handlebody

Journal Article

Fundamenta Mathematicae, ISSN 0016-2736, 2004, Volume 184, Issue 1-3, pp. 205 - 221

Journal Article

Pacific Journal of Mathematics, ISSN 0030-8730, 12/2009, Volume 243, Issue 2, pp. 357 - 374

We show that the only finite nonabelian simple groups to admit a locally linear, homologically trivial action on a closed simply connected 4-manifold M (or on...

Finite group action | Simple group | Simply connected 4-manifold | MATHEMATICS | simple group | HOMOLOGY 3-SPHERES | finite group action | simply connected 4-manifold

Finite group action | Simple group | Simply connected 4-manifold | MATHEMATICS | simple group | HOMOLOGY 3-SPHERES | finite group action | simply connected 4-manifold

Journal Article

Journal of Algebra, ISSN 0021-8693, 2006, Volume 298, Issue 2, pp. 460 - 467

We prove that the only finite non-abelian simple groups G which possibly admit an action on a Z 2 -homology 3-sphere are the linear fractional groups PSL ( 2 ,...

MATHEMATICS | Z-HOMOLOGY 3-SPHERES | KNOTS

MATHEMATICS | Z-HOMOLOGY 3-SPHERES | KNOTS

Journal Article

Fundamenta Mathematicae, ISSN 0016-2736, 2011, Volume 215, Issue 3, pp. 203 - 217

We consider finite groups which admit a faithful, smooth action on an acyclic manifold of dimension three, four or five (e.g. Euclidean space). Our first main...

Finite group action | Acyclic manifold | Finite simple group | MATHEMATICS | HOMOLOGY 3-SPHERES | finite group action | finite simple group | acyclic manifold | FIXED-POINTS

Finite group action | Acyclic manifold | Finite simple group | MATHEMATICS | HOMOLOGY 3-SPHERES | finite group action | finite simple group | acyclic manifold | FIXED-POINTS

Journal Article

Topology and its Applications, ISSN 0166-8641, 2006, Volume 153, Issue 15, pp. 2933 - 2942

The only finite non-Abelian simple group acting on a homology 3-sphere—necessarily non-freely—is the dodecahedral group A 5 ≅ PSL ( 2 , 5 ) (in analogy, the...

Finite group action | Finite simple group | Homology 4-sphere | MATHEMATICS | MATHEMATICS, APPLIED | homology 4-sphere | SPHERES | finite group action | finite simple group | 3-SPHERES

Finite group action | Finite simple group | Homology 4-sphere | MATHEMATICS | MATHEMATICS, APPLIED | homology 4-sphere | SPHERES | finite group action | finite simple group | 3-SPHERES

Journal Article

07/2016

Math. Zeitschrift (2019) 292.3, 1291-1314 We study the isometry groups of compact spherical orientable $3$-orbifolds $S^3/G$, where $G$ is a finite subgroup of...

Journal Article

Topology and its Applications, ISSN 0166-8641, 06/2002, Volume 121, Issue 3, pp. 521 - 533

We determine the exact geometric relation between two hyperbolic knots K and K′ such that the n-fold cyclic branched covering of K coincides with the m-fold...

Hyperbolic 3-manifold | Hyperbolic knot | Cyclic branched covering | MATHEMATICS | hyperbolic knot | MATHEMATICS, APPLIED | hyperbolic 3-manifold | cyclic branched covering

Hyperbolic 3-manifold | Hyperbolic knot | Cyclic branched covering | MATHEMATICS | hyperbolic knot | MATHEMATICS, APPLIED | hyperbolic 3-manifold | cyclic branched covering

Journal Article

Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, ISSN 0049-4704, 2001, Volume 32, pp. 165 - 180

Journal Article

11/2014

We analyze the orbifolds that can be obtained as quotients of hyperbolic 3-manifolds admitting a Heegaard splitting of genus two by their orientation...

Mathematics - Geometric Topology

Mathematics - Geometric Topology

Journal Article

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